Evaluate the Line Integral $\int _ { C } x d x + y d y$

question 18

Multiple Choice

Evaluate the line integral $\int _ { C } x d x + y d y$ , where $C$ is the curve $x = t , y = t ^ { 3 } , 1 \leq t \leq 2$ .

• A) \(15\)
• B)\(18\)
• C) \(21\)
• D) \(2\)
• E)\(27\)
• F) \(30\)
• G)\(33\)
• H)\(36\)

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Definitions:

Retained Earnings

Profits that a company keeps after dividends are paid, which can be used for reinvestment in the business or to pay down debt.

Liabilities

Financial obligations or debts a company owes to external parties.

Cash

Liquid assets held by an entity that can be immediately used for transactions.

Ex-dividend Date

The specific date on which shares of a company stop coming with the right to receive the most recently declared dividend, usually set two trading days before the record date.